84 pounds of Type B coffee is used
Solution:
Let "x" be the pounds of type A coffee
Let "y" be the pounds of type B coffee
Cost per pound of type A = $ 5.50
Cost per pound of Type B = $ 4.20
This month, Chau made 143 pounds of the blend
x + y = 143
x = 143 - y -------- eqn 1
For a total cost of $677.30. Thus we frame a equation as:
pounds of type A coffee x Cost per pound of type A + pounds of type B coffee x Cost per pound of Type B = 677.30
[tex]x \times 5.50 + y \times 4.20 = 677.30\\\\5.5x + 4.2y = 677.30 -------- eqn 2[/tex]
Let us solve eqn 1 and eqn 2
Substitute eqn 1 in eqn 2
[tex]5.5(143-y) +4.2y = 677.30\\\\786.5 -5.5y + 4.2y = 677.30\\\\5.5y - 4.2y = 786.5 - 677.30\\\\1.3y = 109.2\\\\Divide\ both\ sides\ by\ 1.3\\\\y = 84[/tex]
Thus 84 pounds of Type B coffee is used
To determine how many pounds of type B coffee were used in Chau's coffee blend, we set up a system of equations based on the total weight and total cost of the blend. By substituting one equation into the other, we can solve for the quantity of type B coffee.
Calculating the Blend of Coffee:
To solve the problem, let's use a system of equations to determine how many pounds of type B coffee Chau used in his coffee blend. We have two unknowns here: the amount of type A coffee (let's call it A) and the amount of type B coffee (let's call it B). The total weight of the coffee blend is given as 143 pounds, and the total cost of the blend is $677.30.
The first equation comes from the total weight of the blend:
A + B = 143
The second equation comes from the total cost:
5.50A + 4.20B = 677.30
We can use either substitution or elimination to solve this system. If we solve the first equation for A (i.e., A = 143 - B) and substitute it into the second equation, we get:
5.50(143 - B) + 4.20B = 677.30
After simplifying, we can solve for B to find out how many pounds of type B coffee were used.
GIVING BRAINLIEST Write a proportion that could be used to solve for each variable. Then solve. 16 walls in 40 hours 3 walls in h hours a. 16/40 = h/3; h = 1.2 c. 16/h = 3/40; h = 213.3 b. 16/40 = 3/h; h = 7.5 d. 16/40 = 3/h; h = 8.5
The proportion that could be used to solve for the variable is [tex]\frac{16}{40}=\frac{3}{h}[/tex] ; h = 7.5 ⇒ answer b
Step-by-step explanation:
A proportional relationship: one variable is always a constant value times the other, that constant is called the constant of proportionality
y = k x is the equation of the proportional relationshipWe can write the proportional relationship in the form [tex]\frac{y_{1}}{x_{1}}=\frac{y_{2}}{x_{2}}=k[/tex]The number of walls and the number of hours are increased or decreased together
∴ The number of walls and the number of hours are proportion
∵ 16 walls in 40 hours
∵ 3 walls in h hours
- By using the second rule above
∴ [tex]\frac{16}{40}=\frac{3}{h}[/tex]
The proportion that could be used to solve for the variable is [tex]\frac{16}{40}=\frac{3}{h}[/tex]
Let us solve it to find h
∵ [tex]\frac{16}{40}=\frac{3}{h}[/tex]
- By using cross multiplication
∴ 16 × h = 3 × 40
∴ 16 h = 120
- Divide both sides by 16
∴ h = 7.5
The value of h is 7.5 hours
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Annual student fees at the University of California rose from about $4,000 in the year 2000 to about $12,000 in 2010. Find the percent increase.
Answer: 200%
Step-by-step explanation:
We are asked to find the percent increase in student fees. The amount of increase in student fees is given by
final amount − initial amount = increase
12,000 − 4,000 = 8,000
We can now find the percent increase by finding what percent the amount of increase is of the initial amount. In other words, we want to find what percent 8,000 is ... of 4,000.
Let p be the percent. The question can be translated into an equation.
8,000 {is} {what percent} {of} 4,000
8,000 {=} { P } {x} 4,000
To solve for p, we can now divide each side by 4,000 and simplify.
8,000 = 4,000p
p=2
To convert p to a percent, multiply 2 by 100.
2 x 100
=200%
It follows that the percent increase in student fees was 200%.
Answer:
200%
Step-by-step explanation:
Find the amount of change.
12,000−4,000=8,000
Find the percent.
Change is what percent of the original amount?
Let p= the percent.
8,000 is what percent of 4,000?
Translate to an equation and simplify.
8,000 = p⋅ 4,000=
8,000 = 4,000p
Divide both sides by 4,000 and change to percent form.
2=p
200%=p
Tricia saved money, but the amount she saved didn't meet both her emergency needs and savings for her goal. Which of these would be best for tricia to do next
Answer:
Look at her flexible expenses and prioritize
Step-by-step explanation:
Take the flexible-expense section of your budget and list the categories in the order of their importance to you.
The best option for Tricia would be look at her flexible expenses and prioritize. The correct option is d.
What is budgeting?Budgeting is the process of developing a financial plan. It entails assessing your income and expenses and deciding how to allocate your resources.
Examine her variable expenses and prioritize. Tricia needs to re-evaluate her budget and see where she can cut costs to save more money for her emergency needs and long-term savings goals.
By examining and prioritizing her flexible expenses, she can identify areas where she can cut back on spending and redirect those funds to her savings goals.
Tricia must avoid incurring additional debt by using a credit card and must continue to cover her basic needs, such as food, by budgeting appropriately.
Thus, the correct option is d.
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Your question seems incomplete, the probable complete question is:
Tricia saved money, but the amount she saved didn't meet both her emergency needs and savings for her goal. Which of these would be BEST for Tricia to do next?
a.) Delete her food budget
b.) Incur more debt and use a credit card
c.) Spend more money on flexible expenses
d.) Look at her flexible expenses and prioritize
Linda's grandmother baked brownies on Saturday for her church's bake sale. She cut each batch of brownies into 9 large pieces. She made 81 brownies before lunch and by the end of the day, she had made 153 brownies altogether. How many batches of brownies did she make after lunch?
A)6
B)7
C)8
D)9
Answer:
C - 8
Step-by-step explanation:
153 - 81 = 72
72 ÷ 9 = 8
Answer:
C) 8
I looked at the other answer at the bottom.
Point A is located at (3,-6) and point A is located at (1-2). What is the scale factor?
Answer:
The scale factor is 3.
Step-by-step explanation:
Let the origin O(0,0) is the reference point and the coordinates of the point A are given by (3,-6).
Therefore, the distance OA is given by [tex]\sqrt{(3 - 0)^{2} + (- 6 - 0)^{2}} = 3\sqrt{5}[/tex] units.
Again, the coordinates of point A' are (1,-2).
Therefore, the distance OA' is given by [tex]\sqrt{(1 - 0)^{2} + (- 2 - 0)^{2}} = \sqrt{5}[/tex] units.
Hence, the scale factor is [tex]\frac{OA}{OA'} = \frac{3\sqrt{5} }{\sqrt{5}} = 3[/tex]. (Answer)
the product of a linear monomial and a linear binomial is a
Answer:
Step-by-step explanation:
Example: (cx)×(ax + b) comes out to acx^2 + bcx, which is a linear quadratic (highest power of x is 2).
the product of a linear monomial and a linear binomial will be
[tex]\rm = (cx)\times(ax + b)[/tex] which will comes out to [tex]\rm acx^2 + bcx[/tex] that is a linear quadratic higgest power of x
Lets understand,
What is Linear monomial?A Linear monomial is an Expression that has only one given term & whose power or highest degree is one. It cannot take any addition or subtraction signs monomial is an linear expression that has only a single non-zero term. Monomials can be numbers, variables, or numbers multiplied with variables.
Examples of linear monomial:-
For example, [tex]\rm 2, ab, and\; 42\;xy[/tex] are examples of a monomial. A few other examples of monomials are [tex]\rm 5x, 5x^3 , 7xy,x^5 .[/tex]
Therefore, the product of a linear monomial and a linear binomial will be
[tex]\rm = (cx)\times(ax + b)[/tex] which will comes out to [tex]\rm acx^2 + bcx[/tex] that is a quadratic with higgest power of x.
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Which expression converts StartFraction pi Over 4 EndFraction radians to degrees?
StartFraction pi Over 4 EndFraction times 180 degrees
StartFraction pi Over 4 EndFraction times StartFraction 180 degrees Over pi EndFraction
StartFraction pi Over 4 EndFraction times StartFraction Pi Over 180 degrees EndFraction
StartFraction pi Over 4 EndFraction times pi
Answer:
StartFraction pi Over 4 EndFraction times StartFraction 180 degrees Over pi EndFraction.
Step-by-step explanation:
We know the relation between radian and degree is that, π radians = 180°.
Then we have to calculate the degree that is equivalent to [tex]\frac{\pi }{4}[/tex] radians.
Now, using the unitary method, we can calculate the degree value.
Therefore, [tex]\frac{\pi }{4}[/tex] radians is equivalent to [tex]\frac{\pi }{4} \times \frac{180}{\pi } = \frac{180}{4} = 45 ^{\circ}[/tex].
So, it is StartFraction pi Over 4 EndFraction times StartFraction 180 degrees Over pi EndFraction. (Answer)
60 is 5 times as great as k
a car dealer buys a luxury car for $65,200 and sells it for 85,650. What is the percent increase in the price of the cara car dealer buys a luxury car for $65,200 and sells it for 85,650. What is the percent increase in the price of the car
Answer:
The percent increase in the price of the car is 31.36%.
Step-by-step explanation:
Given:
A car dealer buys a luxury car for $65,200 and sells it for $85,650.
Now, to find the percent increase in the price of the car.
Cost price of the luxury car = $65,200.
Sell price of the luxury car = $85,650.
So, the price of the car increased by:
Sell price of the luxury car - Cost price of the luxury car.
[tex]=\$85,650-\$65,200\\\\=\$20,450.[/tex]
Thus, the price of car increased by $20,450.
Now,to get the percent increase in the price of the car:
[tex]\frac{20450}{65200} \times 100[/tex]
[tex]=0.3136\times 100[/tex]
[tex]=31.36\%.[/tex]
Therefore, the percent increase in the price of the car is 31.36%.
A snail travels at a rate of 2.58 feel per minute
Write a rule to describe the function.
How far will the snail travel in 9 minutes?
D(t)- 2.68: 3.49
D(t)= t+2.58; 11.58 ft
d(t) = 9t; 23.22 ft
d(t) = 2.581; 23.22 ft
Answer:
The answer is 23.22
Step-by-step explanation:
The reason why is because all you have to do is multiply the length that the snail travels per minute by the amount of minutes.
A square orange rug has a green square in the center. The side length of the green square is x inches. The width of the orange band that surrounds the green square is 12 in. What is the area of the orange band?
Answer:
The area of the orange band is 576 + 48x square inches
Step-by-step explanation:
Step 1: Area of the green square
The area of the green square =[tex]side^2[/tex]
The area of the green square = [tex]x^2[/tex] square inches
Step 2: Area of the orange square
The area of the orange square =[tex]side^2[/tex]
The side of the orange square = 12+12 + x = 24 +x
Now the area of the orange square =[tex](x+24)^2[/tex]
Step 3: The area of the orange band
Area of the orange band = area of the orange square - area of the green square
Area of the orange band = [tex](x+24)^2 - x^2[/tex]
expanding and solving the equation we get
[tex]x^2 + 24^2 +48x - x^2[/tex]
[tex]576 + 48 x[/tex] square inches
Final answer:
The area of the orange band surrounding the central green square on the rug is found by subtracting the area of the green square from the area of the entire rug. The formula for the area of the orange band is 48x + 576 square inches, where x represents the side length of the green square.
Explanation:
To find the area of the orange band on the rug, we need to calculate the area of the entire rug and subtract the area of the central green square. The width of the orange band is given to be 12 inches. Therefore, each side of the orange rug is increased by 2 times 12 inches (for both the left and the right side of the green square), making the total length of the rug's side x + 2(12) inches.
The area of the entire rug, which is a larger square, is[tex](x + 24)^2[/tex] square inches. The area of the central green square is [tex]x^2[/tex]square inches. To find the area of the orange band, we subtract the area of the green square from the area of the entire rug which is: [tex](x + 24)^2 - x^2[/tex].
Expanding the squared term we get: [tex]x^2 + 48x + 576 - x^2[/tex], which simplifies to 48x + 576 square inches. That's the area of the orange band surrounding the green square.
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All but 6 students in the club went on the field trip. Write an expression for the number of students on the field trip.
Do I add, subtract, or multiply?
Answer:
Number of students who went on the field trip = N - 6 .
We subtract 6 from the total number of students to get the number of students who went on the field trip.
Step-by-step explanation:
i) let the number of students in the club be = N
ii) If all but 6 students went on the trip then to we can write an expression for the number of students on the field trip by subtracting 6 from N. Therefore we can write the expression as
number of students who went on the field trip = N - 6
Evaluate the expression, if x=4, y=9, and z=7.
x(y + z - 3 squared)
After evaluating the expression with the given values for x, y, and z by following the order of operations, the final result of the expression is 28.
Explanation:To evaluate the expression given x=4, y=9, and z=7, we follow the order of operations, which means we perform the operations inside the parentheses first before multiplying by x.
First, calculate the value inside the parentheses as follows:
y + z - 3 squared
= 9 + 7 - 32
= 9 + 7 - 9
= 16 - 9
= 7
Now, multiply this result by x:
x(y + z - 3 squared)
= 4(7)
= 28
So, the evaluated expression equals 28.
Find the fifth term in the sequence defined as follows An=4+(-1)^n
Answer:
Step-by-step explanation:
[tex]A_{5}=4+(-1)^5=4-1=3[/tex]
The fifth term of the sequence is 3.
What is Arithmetic progression?An arithmetic progression or arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is constant.
Given to us,
Sequence,
An=4+(-1)^n
For fifth term,
n = 5,
now, we have,
Subsituting the value of n we get,
An=4+(-1)^n
A_5 = 4+(-1)^5
A_5 = 4+(-1)
A_5 = 4 -1
A_5 = 3
Hence, the fifth term of the sequence is 3.
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In the question for exponential functions y=a•b^x how does the a term relate to a key feature of the graph
Answer:
es mi amigos senior le si nueve diez veite treinta Cien si onu fose locas
Step-by-step explanation:
ΔDEF and ΔXYZ are similar isosceles triangles. What is the measure of X?
75°
105°
60°
30°
Answer: Angle X = 30
Step-by-step explanation: First and foremost, we should recognize that an isosceles triangle has two sides equal and the two angles subtended by the two equal sides are also equal in measurement.
This means. In the diagram on the left, line DE = line DF and that is 10cm.
The similar angles are the ones subtended by the lines identified as being equal, that is
Angle E = angle F and that is 75. If both angles measure a combined total of 150 the third angle can be derived simply as
180 - (75+ 75)
{Sum of angles in a triangle = 180}
180 - (150)
= 30
Therefore angle D = 30.
However having been given in the question that both triangles are similar and are isosceles, then
Angle D = Angle X and that is 30
Answer:
30 Good sir or miss sorry if I'm late dear
Y=2/3x+3
x=-2
-2, -15/2
-2, 5/3
-2,11/6
-2,13/3
Answer:
[tex](-2,\frac{5}{3})[/tex]
Step-by-step explanation:
[tex]Given\ y=\frac{2}{3}x+3,\ and\ x=-2\\\\Substitute\ the\ value\ of\ x\\\\y=\frac{2}{3}\times (-2)+3\\\\y=-\frac{4}{3}+3\\\\y=\frac{-4+9}{3}\\\\y=\frac{5}{3}\\\\Hence\ (-2,\frac{5}{3})\ satisfies\ the\ equation.[/tex]
You put $8000 in an account. The account earns $2400 simple interest in 12 years. What is the annual interest rate
Answer:
b
Step-by-step explanation:
bc i just did it
Answer:
The interest rate was 2.5% per year.
Step-by-step explanation:
1) In the diagram, l || m. If the measure of angle 3 is 120 find the measure of the following angles
a) angle 4
b) angle 6
c) angle 8
Answer:
a) angle 4 = 60°
b) angle 6 = 120°
c) angle 8 = 60°
Step-by-step explanation:
a) angle 4 =
angle 3 and angle 4 are on the straight angle and they are both equal 180°angle 3 = 120
angle 4 = 180 - 120 = 60
a) angle 4 = 60°b) angle 6 =
angle 6 = angle 2 and angle 2 = 120°b) angle 6 = 120°c) angle 8 =
angle 6 and angle 8 are on the straight angle and they are both equal 180°angle 8 = 180 - 120 = 60
angle 8 = angle 4 and angle 4 = 60°c) angle 8 = 60°Angles 4, 6, and 8 in the given parallel line scenario would all measure 120 degrees because they are alternate interior, corresponding, and vertical angles to angle 3 respectively.
Explanation:When dealing with parallel lines and transversals in geometry, certain angles have specific relationships. Given that lines l and m are parallel and angle 3 measures 120 degrees, we can deduce the following:
Angle 4: This angle is an alternate interior angle to angle 3. Therefore, angle 4 will also measure 120 degrees because alternate interior angles are equal when two lines are parallel.Angle 6: Since angles 3 and 6 form a pair of corresponding angles and lines l and m are parallel, angle 6 is also 120 degrees.Angle 8: Angle 8 is a vertical angle to angle 3. Vertical angles are always congruent, hence angle 8 equals 120 degrees.Remember that in parallel line angle relationships, alternate interior, corresponding, and vertical angles provide a dependable method to find missing angle measures.
The quotient of a number and -4 is 5. What is the number?
Answer:
-20
Step-by-step explanation:
-20 divided by -4 is 5.
Answer:
-20
Step-by-step explanation:
x/-4 = 5
x = 5*-4
x = -20
An online retailer charges $6.99 plus $.55 per pound to ship electronic purchases how many pounds is a DVD player for which the shipping charge is $11.94?
Answer: 6.99 times.55x
Step-by-step explanation:
Consider the diagram below. which of the following represents the values x,y and z?
Answer:
[tex]x=4\sqrt{6}\ units[/tex]
[tex]y=4\sqrt{2}\ units[/tex]
[tex]z=4\sqrt{3}\ units[/tex]
Step-by-step explanation:
The picture of the question in the attached figure
step 1
In the right triangle ABD
Applying the Pythagorean Theorem
[tex]x^2=y^2+(12-4)^2[/tex]
[tex]x^2=y^2+64[/tex]
[tex]y^2=x^2-64[/tex] ----> equation A
step 2
In the right triangle BDC
Applying the Pythagorean Theorem
[tex]z^2=y^2+4^2[/tex]
[tex]z^2=y^2+16[/tex]
[tex]y^2=z^2-16[/tex] ----> equation B
step 3
In the right triangle ABC
Applying the Pythagorean Theorem
[tex]12^2=x^2+z^2[/tex]
[tex]144=x^2+z^2[/tex] ----> equation C
step 4
Equate equation A and equation B
[tex]x^2-64=z^2-16[/tex]
[tex]x^2=z^2+48[/tex] -----> equation D
step 5
substitute equation D in equation C
[tex]144=z^2+48+z^2[/tex]
solve for z
[tex]2z^2=144-48[/tex]
[tex]2z^2=96[/tex]
[tex]z^2=48[/tex]
[tex]z=\sqrt{48}\ units[/tex]
simplify
[tex]z=4\sqrt{3}\ units[/tex]
Find the value of x
[tex]x^2=z^2+48[/tex]
[tex]x^2=48+48=96[/tex]
[tex]x=\sqrt{96}\ units[/tex]
[tex]x=4\sqrt{6}\ units[/tex]
Find the value of y
[tex]y^2=z^2-16[/tex]
[tex]y^2=48-16[/tex]
[tex]y^2=32[/tex]
[tex]y=\sqrt{32}\ units[/tex]
[tex]y=4\sqrt{2}\ units[/tex]
Determine the measure of the missing angles. Show your work! Be ready to discuss your answer.
For a.
Since there are already two angles given for the triangle, we can measure the last angle using this formula:
90 + 55 + a = 180
Now solve for "a".
90 + 55 + a = 180
145 + a = 180
a = 180 - 145
a = 35°
For b.
From the picture above, the two triangle's tip are touching and having to form vertical angles. This means that the angles are congruent to each other.
Now that we have two angles in the second triangle(35 and 120), we can use the same formula:
35 + 120 + b = 180
Now solve for "b":
35 + 120 + b = 180
155 + b = 180
b = 180 - 155
b = 25°
Answer:
a = 35 b = 25
Step-by-step explanation:
Triangles always add up to 180 degrees. Knowing this we can first solve the triangle with the right angle.
55 + 90 + a = 180
Before we solve this, keep in mind that the reflective property will be used on angle a, giving the answer to the third angle in the second triangle.
145 + a = 180
-145 -145
a = 35
Now that we have a solved use the reflective property to get it on the second triangle.
120 + 35 + b = 180
155 + b = 180
-155 -155
b = 25
There you have your two angles.
Hope this helped you out.
A coffee maker's directions say to use 2 tablespoons of ground coffee for every 6 ounces of water. How much coffee should you use for 33 ounces of water?
Answer:11 tbs for 33 ounces of water
Step-by-step explanation:
Answer:
Step-by-step explanation: because i did 33 divided 2 to get the answer for the questions which equal 16.5 for 33
What is the product of 5x + 3 and 8x2 - 2x + 5?
Answer:
The product of 5x + 3 and 8x2 - 2x + 5 is 3x2 and 8 + 3x + 5
Step-by-step explanation:
Step 1 :
Equation at the end of step 1 :
((5x + (3and8 • x2)) - 2x) + 5
Step 2 :
Trying to factor a multi variable polynomial :
2.1 Factoring 3x2and8 + 3x + 5
Try to factor this multi-variable trinomial using trial and error
Factorization fails
Final result :
3x2and8 + 3x + 5
Processing ends successfully
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Answer:
40X^3 - 34X^2 + 4X + 15
Step-by-step explanation:
Using Algebraic expansion, the first number in bracket with its coefficience multiplies the second bracket. Equally , the second number in the first bracket is also used to multiply the second bracket, taking note of the sign (addition and minus sign)
5x(8x^2 -2x +5) +3 (8x^2 -2x +5)
= 40X3 - 10X^2 + 10X -24X^2 - 6X + 15
= 40X^3 - 34X^2 + 4X + 15
2. A rectangular plot of land is 0.4 kilometer long and 0.07 kilometer wide. What is its
area in square kilometers? Show your reasoning
An area of rectangle: a · b
a = 0.4 km
b = 0.07 km
a · b = 0.4 km · 0.07 km = 0.028 km²
The area of the rectangular plot of land is found by multiplying the length (0.4 km) by the width (0.07 km), resulting in an area of 0.028 square kilometers.
Explanation:To find the area of a rectangular plot of land, you multiply the length by the width. The given rectangular plot is 0.4 kilometers long and 0.07 kilometers wide. To calculate the area, we do the following multiplication:
Area = Length × WidthArea = 0.4 km × 0.07 kmArea = 0.028 km²The area of the rectangular plot of land is 0.028 square kilometers.
A game designer must decide how to color five buildings that are in a row. Using only the colors yellow, green, red, and blue, each building must be painted with exactly one color. Any two neighboring buildings must be different colors, and the first, third, and fifth buildings must be different colors. How many ways are there to paint the five buildings?
Answer:
The total of ways the buildings can be painted are = 4 [tex]\times[/tex] 3 [tex]\times[/tex] 2 [tex]\times[/tex] 2 [tex]\times[/tex] 1 = 48 ways.
Step-by-step explanation:
i) color five buildings that are in a row.
ii) any two neighboring buildings must be different colors
iii) the first third and fifth buildings must be different colors.
iv) the number of ways to paint the fist building are 4.
v) the number of ways to paint the second building are 3.
vi) the number of ways to paint the third building are 2.
vii) the number of ways to paint the fourth building are 2.
viii) the number of ways to paint the last building are 1.
ix) therefore the total of ways the buildings can be painted are
= 4 [tex]\times[/tex] 3 [tex]\times[/tex] 2 [tex]\times[/tex] 2 [tex]\times[/tex] 1 = 48 ways.
Answer:
84
Step-by-step explanation:
we can split it into 2 cases: 1 case is when you choose the last building first and the second case is when you choose it last: so it is 4x2x2x3 for the first case and 4x3x3x1 for the last. So it’s 36+48=84 total cases.
Find the missing values of the variables
Answer:
What
Step-by-step explanation:
What is the missing variables
if f(x)=3x-1 and g(x)= x+2, find (f-g)(x)
Answer:
Step-by-step explanation:
(f-g)(x) = f(x)- g(x)
= 3x - 1 - ( x + 2)
=3x - 1 - x - 2
= 2x - 3